Search a number
-
+
5361816520 = 2353712772837
BaseRepresentation
bin1001111111001011…
…01101001111001000
3111211200012111112001
410333211231033020
541440111112040
62244014200344
7246604455064
oct47745551710
914750174461
105361816520
112301673125
1210577b30b4
13675ac13c8
1438c166aa4
15215ac659a
hex13f96d3c8

5361816520 has 64 divisors (see below), whose sum is σ = 12404216880. Its totient is φ = 2084391936.

The previous prime is 5361816503. The next prime is 5361816521. The reversal of 5361816520 is 256181635.

It can be written as a sum of positive squares in 8 ways, for example, as 2342753604 + 3019062916 = 48402^2 + 54946^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 5361816520.

It is not an unprimeable number, because it can be changed into a prime (5361816521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1888542 + ... + 1891378.

Almost surely, 25361816520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5361816520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202108440).

5361816520 is an abundant number, since it is smaller than the sum of its proper divisors (7042400360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5361816520 is a wasteful number, since it uses less digits than its factorization.

5361816520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 5361816520 is about 73224.4257061809. The cubic root of 5361816520 is about 1750.2657033296.

The spelling of 5361816520 in words is "five billion, three hundred sixty-one million, eight hundred sixteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1277 1480 2554 2837 5108 5674 6385 10216 11348 12770 14185 22696 25540 28370 47249 51080 56740 94498 104969 113480 188996 209938 236245 377992 419876 472490 524845 839752 944980 1049690 1889960 2099380 3622849 4198760 7245698 14491396 18114245 28982792 36228490 72456980 134045413 144913960 268090826 536181652 670227065 1072363304 1340454130 2680908260 5361816520